User:BudjarnLambeth/The intervals I see as important: Difference between revisions
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Table created using Claude (I gave it a PDF of the EDO harmonic tables; my prompt is listed below the table). '''It almost certainly made errors so don't use this as a source for the numbers''' (instead look at the relevant EDO pages directly, they're linked in the left column). | Table created using Claude (I gave it a PDF of the EDO harmonic tables; my prompt is listed below the table). '''It almost certainly made errors so don't use this as a source for the numbers''' (instead look at the relevant EDO pages directly, they're linked in the left column). | ||
<nowiki>*</nowiki>''denotes EDOs where an especially high % of their intervals are consonant'' | |||
{| class="wikitable sortable" style="text-align:center; font-size:80%;" | {| class="wikitable sortable" style="text-align:center; font-size:80%;" | ||
|- | |- | ||
! rowspan=2 | EDO | ! rowspan="2" | EDO | ||
! rowspan="2" |Est. no. of dissonances!! colspan="2" style="background:#d0e8ff;" | Hyperconsonances !! colspan=6 style="background:#c8f0c8;" | Consonances !! colspan=8 style="background:#fff0c8;" | Ambisonances | ! rowspan="2" |Est. no. of dissonances!! colspan="2" style="background:#d0e8ff;" | Hyperconsonances !! colspan="6" style="background:#c8f0c8;" | Consonances !! colspan="8" style="background:#fff0c8;" | Ambisonances | ||
|- | |- | ||
! style="background:#d0e8ff;" | 2/1<br/><small>perf oct</small> | ! style="background:#d0e8ff;" | 2/1<br /><small>perf oct</small> | ||
! style="background:#d0e8ff;" | 3/1<br/><small>perf 5th^</small> | ! style="background:#d0e8ff;" | 3/1<br /><small>perf 5th^</small> | ||
! style="background:#c8f0c8;" | 5/1<br/><small>maj 3rd^</small> | ! style="background:#c8f0c8;" | 5/1<br /><small>maj 3rd^</small> | ||
! style="background:#c8f0c8;" | 4/3<br/><small>perf 4th</small> | ! style="background:#c8f0c8;" | 4/3<br /><small>perf 4th</small> | ||
! style="background:#c8f0c8;" | 5/3<br/><small>maj 6th</small> | ! style="background:#c8f0c8;" | 5/3<br /><small>maj 6th</small> | ||
! style="background:#c8f0c8;" | 7/1<br/><small>submin 7th^</small> | ! style="background:#c8f0c8;" | 7/1<br /><small>submin 7th^</small> | ||
! style="background:#c8f0c8;" | 9/1<br/><small>lg maj 2nd^</small> | ! style="background:#c8f0c8;" | 9/1<br /><small>lg maj 2nd^</small> | ||
! style="background:#c8f0c8;" | 7/3<br/><small>submin 3rd^</small> | ! style="background:#c8f0c8;" | 7/3<br /><small>submin 3rd^</small> | ||
! style="background:#fff0c8;" | 6/5<br/><small>min 3rd</small> | ! style="background:#fff0c8;" | 6/5<br /><small>min 3rd</small> | ||
! style="background:#fff0c8;" | 11/1<br/><small>undec 4th^</small> | ! style="background:#fff0c8;" | 11/1<br /><small>undec 4th^</small> | ||
! style="background:#fff0c8;" | 7/5<br/><small>sm tritone</small> | ! style="background:#fff0c8;" | 7/5<br /><small>sm tritone</small> | ||
! style="background:#fff0c8;" | 9/5<br/><small>min 7th</small> | ! style="background:#fff0c8;" | 9/5<br /><small>min 7th</small> | ||
! style="background:#fff0c8;" | 11/3<br/><small>neu 7th^</small> | ! style="background:#fff0c8;" | 11/3<br /><small>neu 7th^</small> | ||
! style="background:#fff0c8;" | 13/1<br/><small>neu 6th^</small> | ! style="background:#fff0c8;" | 13/1<br /><small>neu 6th^</small> | ||
! style="background:#fff0c8;" | 8/7<br/><small>supmaj 2nd</small> | ! style="background:#fff0c8;" | 8/7<br /><small>supmaj 2nd</small> | ||
! style="background:#fff0c8;" | 13/3<br/><small>lg tri neu 2nd^</small> | ! style="background:#fff0c8;" | 13/3<br /><small>lg tri neu 2nd^</small> | ||
|- | |- | ||
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|- | |- | ||
| '''[[12edo]]''' | | '''[[12edo]]''' | ||
| style="background:#ffffff;" | 3 | | style="background:#ffffff;" | 3* | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#90EE90;" | 2.0¢ ✓✓ | | style="background:#90EE90;" | 2.0¢ ✓✓ | ||
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|- | |- | ||
| '''[[15edo]]''' | | '''[[15edo]]''' | ||
| style="background:#ffffff;" | 3 | | style="background:#ffffff;" | 3* | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FF9999;" | 18.0¢ ✗ | | style="background:#FF9999;" | 18.0¢ ✗ | ||
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|- | |- | ||
| '''[[19edo]]''' | | '''[[19edo]]''' | ||
| style="background:#ffffff;" | 4 | | style="background:#ffffff;" | 4* | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FFD700;" | 7.2¢ ✓ | | style="background:#FFD700;" | 7.2¢ ✓ | ||
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|- | |- | ||
| '''[[22edo]]''' | | '''[[22edo]]''' | ||
| style="background:#ffe0e0;" | 6 | | style="background:#ffe0e0;" | 6* | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FFD700;" | 7.1¢ ✓ | | style="background:#FFD700;" | 7.1¢ ✓ | ||
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|- | |- | ||
| '''[[24edo]]''' | | '''[[24edo]]''' | ||
| style="background:#ffb0b0;" | 9 | | style="background:#ffb0b0;" | 9* | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#90EE90;" | 2.0¢ ✓✓ | | style="background:#90EE90;" | 2.0¢ ✓✓ | ||
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|- | |- | ||
| '''[[26edo]]''' | | '''[[26edo]]''' | ||
| style="background:#ffb0b0;" | 10 | | style="background:#ffb0b0;" | 10* | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FFD700;" | 9.6¢ ✓ | | style="background:#FFD700;" | 9.6¢ ✓ | ||
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|- | |- | ||
| '''[[27edo]]''' | | '''[[27edo]]''' | ||
| style="background:#ffb0b0;" | 11 | | style="background:#ffb0b0;" | 11* | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FFD700;" | 9.2¢ ✓ | | style="background:#FFD700;" | 9.2¢ ✓ | ||
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|- | |- | ||
| '''[[31edo]]''' | | '''[[31edo]]''' | ||
| style="background:#ffb0b0;" | 15 | | style="background:#ffb0b0;" | 15* | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FFD700;" | 5.2¢ ✓ | | style="background:#FFD700;" | 5.2¢ ✓ | ||
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| '''[[34edo]]''' | | '''[[34edo]]''' | ||
| style="background:#ff8080;" | 18 | | style="background:#ff8080;" | 18* | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#90EE90;" | 3.9¢ ✓✓ | | style="background:#90EE90;" | 3.9¢ ✓✓ | ||